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arxiv: 1905.11613 · v1 · pith:RBGJI7PVnew · submitted 2019-05-28 · 🧮 math.GT

Connected Floer homology of covering involutions

classification 🧮 math.GT
keywords branchedcoveringknotadaptingalongapplyconcordanceconnected
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Using the covering involution on the double branched cover of the three-sphere branched along a knot, and adapting ideas of Hendricks-Manolescu and Hendricks-Hom-Lidman, we define new knot invariants and apply them to deduce novel linear independence results in the smooth concordance group of knots.

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